Theorems · Definition · category theory

CategoryTheory.Oplax.OplaxTrans.StrongCore.naturality

{B : Type u₁} →
  [inst : CategoryTheory.Bicategory B] →
    {C : Type u₂} →
      [inst_1 : CategoryTheory.Bicategory C] →
        {F G : CategoryTheory.OplaxFunctor B C} →
          {η : F ⟶ G} →
            CategoryTheory.Oplax.OplaxTrans.StrongCore η →
              {a b : B} →
                (f : a ⟶ b) →
                  CategoryTheory.CategoryStruct.comp (F.map f) (η.app b) ≅
                    CategoryTheory.CategoryStruct.comp (η.app a) (G.map f)

The underlying 2-isomorphisms of the naturality constraint.

Defined in

Mathlib.CategoryTheory.Bicategory.NaturalTransformation.Oplax

Cited by

1 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.BicategoryCategoryTheory.Bicategory